Gauge strongly summability of measurable functions
During the late 50’s and early 60’s, the notion of Gauge integral was presented by Kurzweil and Henstock, independently. The purpose of this paper is to extend this concept to Summability theory. To accomplish this, we introduce the notion of ˜γ−strongly summable to L with respect to Gauge by using h(ϑ) measurable real valued function defined on (1, ∞). We shall also prove inclusion theorems to contrast it with other Summability integration techniques.
Carpathian Journal of Mathematics
Savas, R., Patterson, R.F. (2021) Gauge strongly summability of measurable functions. Carpathian Journal of Mathematics, 37(1), 109-117.